Question

7.) A man is in a boat that is floating 175 feet from the base of a
200-foot cliff. What is the angle of depression between the cliff
and the boat?​

Answer 1

Answer:

The angle of depression between the cliff  and the boat is $48.8141^\circ$

Step-by-step explanation:

Given:

Base width  of the cliff=175 foot

Height of the cliff= 200 foot= 200 foot

To Find:

The angle of depression between the cliff  and the boat=?​

Solution:

Angle of Depression

The angle below horizontal that an observer must look to see an object that is lower than the observer.The angle of depression is congruent to the angle of elevation  

$tan( y )= \frac{opposite}{adjacent}$

Substituting the values,

$tan( y )= \frac{200}{175}$

$tan( y )= 1.14$

$y= tan^{-1}(1.14)$

$y=48.8141^\circ$